Real hypersurfaces in unimodular complex surfaces

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dc.creatorBryant, Robert L.
dc.date2004-07-27
dc.date.accessioned2026-07-07T05:10:45Z
dc.date.available2026-07-07T05:10:45Z
dc.descriptionA unimodular complex surface is a complex 2-manifold X endowed with a holomorphic volume form. A strictly pseudoconvex real hypersurface M in X inherits not only a CR-structure but a canonical coframing as well. In this article, this canonical coframing on M is defined, its invariants are discussed and interpreted geometrically, and its basic properties are studied. A natural evolution equation for strictly pseudoconvex real hypersurfaces in unimodular complex surfaces is defined, some of its properties are discussed, and several examples are computed. The locally homogeneous examples are determined and used to illustrate various features of the geometry of the induced structure on the hypersurface.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0407472
dc.identifierhttp://arxiv.org/abs/math/0407472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72027
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject32F40; 58G11
dc.titleReal hypersurfaces in unimodular complex surfaces
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